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research article

Nonseparable 2-dimensional and 3-dimensional wavelets

Kovacevic, Jelena  
•
Vetterli, Martin  
1995
IEEE Transactions on Signal Processing

We present two- and three-dimensional nonseparable wavelets. They are obtained from discrete-time bases by iterating filter banks. We consider three sampling lattices: quincunx, separable by two in two dimension, and FCO. The design methods are based either on cascade structures or on the McClellan transformation in the quincunx case. We give a few design exemples. In particular, the first example of an orthogonal 2-D wavelets basis with symetries is constructed.

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